A weak Hilbert space with few symmetries
Functional Analysis
2009-10-26 v1
Abstract
We construct a weak Hilbert Banach space such that for every block subspace every bounded linear operator on Y is of the form D+S where S is a strictly singular operator and D is a diagonal operator. We show that this yields a weak Hilbert space whose block subspaces are not isomorphic to any of their proper subspaces.
Cite
@article{arxiv.0910.4401,
title = {A weak Hilbert space with few symmetries},
author = {Spiros A. Argyros and Kevin Beanland and Theocharis Raikoftsalis},
journal= {arXiv preprint arXiv:0910.4401},
year = {2009}
}
Comments
32 pages